Advantages and limitations of the nonlinear Schrödinger equation in describing the evolution of nonlinear water-wave groups

Lev Shemer

doi:10.3176/proc.2015.3S.05

Advantages and limitations of the nonlinear Schrödinger equation in describing the evolution of nonlinear water-wave groups

Translated title of the contribution: Advantages and limitations of the nonlinear Schrödinger equation in describing the evolution of nonlinear water-wave groups

Lev Shemer^*

^*Corresponding author for this work

School of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

The nonlinear Schrödinger (NLS) equation is a popular and relatively simple model used extensively to describe the evolution of nonlinear water-wave groups. It is often applied in relation to the appearance of extremely steep (freak, or rogue) waves in the ocean. The limits of the applicability of the NLS equation, and in particular the relevance of the model to rogue waves, are examined here on the basis of quantitative and qualitative comparison with an experiment.

Translated title of the contribution	Advantages and limitations of the nonlinear Schrödinger equation in describing the evolution of nonlinear water-wave groups
Original language	English
Pages (from-to)	356-360
Number of pages	5
Journal	Proceedings of the Estonian Academy of Sciences
Volume	64
Issue number	3
DOIs	https://doi.org/10.3176/proc.2015.3S.05
State	Published - 29 Aug 2015

Keywords

Breaking waves
Breathers
Nonlinear schrödinger equation
Nonlinear water waves
Peregrine breather
Rogue waves

Access to Document

10.3176/proc.2015.3S.05

Cite this

@article{3d372d32a78e406399a168552f61d885,

title = "Advantages and limitations of the nonlinear Schr{\"o}dinger equation in describing the evolution of nonlinear water-wave groups",

abstract = "The nonlinear Schr{\"o}dinger (NLS) equation is a popular and relatively simple model used extensively to describe the evolution of nonlinear water-wave groups. It is often applied in relation to the appearance of extremely steep (freak, or rogue) waves in the ocean. The limits of the applicability of the NLS equation, and in particular the relevance of the model to rogue waves, are examined here on the basis of quantitative and qualitative comparison with an experiment.",

keywords = "Breaking waves, Breathers, Nonlinear schr{\"o}dinger equation, Nonlinear water waves, Peregrine breather, Rogue waves",

author = "Lev Shemer",

year = "2015",

month = aug,

day = "29",

doi = "10.3176/proc.2015.3S.05",

language = "אנגלית",

volume = "64",

pages = "356--360",

journal = "Proceedings of the Estonian Academy of Sciences",

issn = "1736-6046",

publisher = "Estonian Academy Publishers",

number = "3",

}

TY - JOUR

T1 - Advantages and limitations of the nonlinear Schrödinger equation in describing the evolution of nonlinear water-wave groups

AU - Shemer, Lev

PY - 2015/8/29

Y1 - 2015/8/29

N2 - The nonlinear Schrödinger (NLS) equation is a popular and relatively simple model used extensively to describe the evolution of nonlinear water-wave groups. It is often applied in relation to the appearance of extremely steep (freak, or rogue) waves in the ocean. The limits of the applicability of the NLS equation, and in particular the relevance of the model to rogue waves, are examined here on the basis of quantitative and qualitative comparison with an experiment.

AB - The nonlinear Schrödinger (NLS) equation is a popular and relatively simple model used extensively to describe the evolution of nonlinear water-wave groups. It is often applied in relation to the appearance of extremely steep (freak, or rogue) waves in the ocean. The limits of the applicability of the NLS equation, and in particular the relevance of the model to rogue waves, are examined here on the basis of quantitative and qualitative comparison with an experiment.

KW - Breaking waves

KW - Breathers

KW - Nonlinear schrödinger equation

KW - Nonlinear water waves

KW - Peregrine breather

KW - Rogue waves

UR - http://www.scopus.com/inward/record.url?scp=84940505519&partnerID=8YFLogxK

U2 - 10.3176/proc.2015.3S.05

DO - 10.3176/proc.2015.3S.05

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:84940505519

SN - 1736-6046

VL - 64

SP - 356

EP - 360

JO - Proceedings of the Estonian Academy of Sciences

JF - Proceedings of the Estonian Academy of Sciences

IS - 3

ER -

Advantages and limitations of the nonlinear Schrödinger equation in describing the evolution of nonlinear water-wave groups

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this